Nonlinear Friction-Induced Vibration of a Slider-Belt System
Nonlinear Friction-Induced Vibration of a Slider-Belt System
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DOI：
10.1115/1.4033256
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发表时间：
2016-08-01
影响因子：
1.7
通讯作者：
Guan, Zhenqun
中科院分区：
文献类型：
--
作者：
Li, Zilin;Ouyang, Huajiang;Guan, Zhenqun
质量-弹簧-阻尼器滑块在运动的刚性带的摩擦作用下产生平面振动是摩擦振动的一种主要形式。该范例具有可以改进的两个方面：（1）通常假设滑块-带界面处的接触刚度是线性的，以及（2）通常假设该接触在振动期间被保持（即使当振动在某些条件下变得无界时）。在本文中，包括一个立方接触弹簧;在滑块带接口的接触（分离）的损失是允许的，重要的是分离后的滑块重新连接到带也被认为是。这两个功能，使一个更现实的摩擦引起的振动模型，并显示，导致非常丰富的动态行为，即使使用一个简单的库仑摩擦定律。线性化系统的复特征值分析和完全非线性系统的瞬态分析。特征值分析表明，非线性系统可以成为不稳定的预紧力和非线性刚度的增加水平，即使相应的线性部分的系统是稳定的。然而，它们在足够高的水平上成为稳定因素。瞬态分析表明，分离和再附着可能发生。当考虑分离时，振动会随着预紧力和竖向非线性刚度的增加而增大，而忽略分离时，这种趋势有所不同。最后，发现在一定条件下，考虑分离的模型的振动幅值要大于不考虑分离的相应模型的振动幅值。因此，忽略分离是不安全的。
A mass-spring-damper slider excited into vibration in a plane by a moving rigid belt through friction is a major paradigm of friction-induced vibration. This paradigm has two aspects that can be improved: (1) the contact stiffness at the slider-belt interface is often assumed to be linear and (2) this contact is usually assumed to be maintained during vibration (even when the vibration becomes unbounded at certain conditions). In this paper, a cubic contact spring is included; loss of contact (separation) at the slider-belt interface is allowed and importantly reattachment of the slider to the belt after separation is also considered. These two features make a more realistic model of friction-induced vibration and are shown to lead to very rich dynamic behavior even though a simple Coulomb friction law is used. Both complex eigenvalue analyses of the linearized system and transient analysis of the full nonlinear system are conducted. Eigenvalue analysis indicates that the nonlinear system can become unstable at increasing levels of the preload and the nonlinear stiffness, even if the corresponding linear part of the system is stable. However, they at a high enough level become stabilizing factors. Transient analysis shows that separation and reattachment could happen. Vibration can grow with the preload and vertical nonlinear stiffness when separation is considered, while this trend is different when separation is ignored. Finally, it is found that the vibration magnitudes of the model with separation are greater than the corresponding model without considering separation in certain conditions. Thus, ignoring the separation is unsafe.